Operations with Exponents Worksheet Answers

Are you struggling with understanding operations with exponents? Look no further, as we have just the thing for you! Our operations with exponents worksheet provides thorough and comprehensive practice for students who are looking to master this mathematical concept. With a focus on entity and subject, our worksheet is designed to help students understand the rules and properties of exponents in a clear and concise manner.

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What is the product of 2 raised to the power of 3 and 3 raised to the power of 2?

The product of 2 raised to the power of 3 (2^3) and 3 raised to the power of 2 (3^2) is 8 multiplied by 9, which equals 72.

The product is 36.

The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The prime factors of 36 are 2 and 3.

Simplify 5 squared divided by 5 cubed.

To simplify 5 squared divided by 5 cubed, we first calculate 5 squared which equals 25, and then calculate 5 cubed which equals 125. Finally, we divide 25 by 125, resulting in 1/5. Thus, 5 squared divided by 5 cubed simplifies to 1/5.

The simplification is 1 divided by 5.

The simplification of 1 divided by 5 is 0.2.

Evaluate the expression 4 raised to the power of 0.

Any number raised to the power of 0 is equal to 1. Therefore, 4 raised to the power of 0 is equal to 1.

The evaluation is 1.

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Calculate the value of 10 raised to the power of -2.

10 raised to the power of -2 is equal to 0.01.

The value is 0.01.

The value is 0.01.

Simplify 6 squared multiplied by 6 raised to the power of 4.

The expression simplifies to 6 to the power of 6, which is equal to 46656.

The simplification is 1296.

The simplified form of 1296 is 1296.